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Finding the Fourth Proportional to 30,015.52, 45,023.86 and 9,239

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Solution

The fourth proportional to 30,015.52, 45,023.86 and 9,239 is: 13,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015.52 : 45,023.86 = 9,239 : x
  2. Step 2: Convert to fraction form
    30,015.52/45,023.86 = 9,239/x
  3. Step 3: Cross multiply
    30,015.52x = 45,023.86 × 9,239
  4. Step 4: Simplify right side
    30,015.52x = 415,975,442.54
  5. Step 5: Solve for x
    x = 415,975,442.54/30,015.52
  6. Step 6: Final answer
    x = 13,858.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.